Show that the angles of an equilateral triangle are `60^(@)` each

Show tht the angles of an equilateral triangle are 60^(@) each.

Show that the following points form an equilateral triangle A(a, 0), B(-a, 0), C(0, a sqrt(3))

Prove that the area of an equilateral triangle described on one side of a square is equal of half the area of the equilateral triangle described on one of its diagonals.

Find the centre of mass of three particles at the vertices of an equilateral triangle. The masses of the particles are 100g, 150g, and 200g respectively. Each side of the equilateral triangle is 0.5m long.

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Show that if the diagonals of a quadrilateral bisect each other at right angles then it is a rhombus.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles then it is a square.